Step-by-step explanation:
The volume of a cube is calculated by cubing the length of one side. Therefore, to find the length of each side of the cube with a volume of 46656 m³, we need to perform the following steps:
1. Take the cube root of the volume:
`side_length = ³√(46656 m³) ≈ 36 m`
Therefore, each side of the cube is approximately 36 meters long.
Here's another way to think about it:
- Imagine dividing the cube into smaller cubes with a side length of 1 meter.
- The total number of these small cubes would be the original volume divided by the volume of one small cube (1 m³):
- Number of small cubes = 46656 m³ / 1 m³ = 46656
- Since the cube needs to be filled with these small cubes, each side of the large cube must have the same number of small cubes as its cube root:
- Side length (in small cubes) = ³√(46656) ≈ 36
Therefore, each side of the large cube is 36 units long, where each unit corresponds to the side length of the smaller cubes.
I hope this clarifies the calculation and provides an alternate way to understand the solution!
